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Choosing correct ratio from a situation

Choosing the correct ratio from a situation means selecting the trigonometric ratio that matches the given sides or the required unknown in a word problem.

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Main explanation

Teacher explanation

In applied questions, the diagram or description tells you which side is known and which side is needed. The correct ratio is not chosen by guesswork. It is chosen by matching the situation to opposite, adjacent, and hypotenuse with respect to the given angle.

Example

If a ladder makes an angle with the ground and the height reached on the wall is needed, sine or tangent may be used depending on the sides given.

Simple analogy

Choose the ratio by side match, not by memory alone.

Common confusion

Students often choose a ratio only because it sounds familiar, not because it matches the sides in the question.

Exam tip

First decide the angle, then decide whether the question uses opposite, adjacent, or hypotenuse.

Answer writing and exam use

1-mark use

Write the exact meaning of choosing correct ratio from a situation in one clean line.

2-mark use

Define choosing correct ratio from a situation and add one example or condition.

3-mark use

Explain choosing correct ratio from a situation, show the method or example, and mention the common mistake.

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